101 P6.SP.TL.18012268
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
DST triangle Average speed Same starting point Circular track Unit conversion Duration LCM
102 P6.SP.TL.18012269
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
DST triangle Average speed Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
103 P6.SP.TL.18012286
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
104 P6.SP.JC.17053162
Level 3
A pool measuring 50 m x 25 m x 2 m was completely filled with water. The water was draining out of the tank at a constant rate and became completely empty after 25 minutes.
  1. What fraction of the pool was filled with water at the end of 24 minutes? Express the answer in the simplest form.
  2. How many litres of water was drained out of the pool at the end of 10 minutes?
4 m
Rate 1 object Volume Fraction of a whole F Simplest form
105 P6.SP.JC.17080911
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
4 m
Rate 1 object Unit conversion Volume Filling up with cubes Filling tank Displacement Percent of a whole
106 P6.SP.JC.17053170
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m
Rate 1 object Volume Volume of cuboid Height of cuboid Filling Tank Volume transfer Volume common base area Volume common height D Place values D Round off
107 P6.SP.JC.18011303
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
4 m
Rate more than 1 object Unit conversion Duration Volume
108 P6.SP.JC.21061106
Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.
  1. How many pages were there altogether in the set of notes?
  2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?
4 m
Rate more than 1 object Duration Unit conversion Number x value Units table
109 P6.SP.JC.21061105
Level 3 PSLE
One copier took 60 minutes while another took 100 minutes to print the same number of leaflets. The faster copier printed 6 more leaflets per minute than the slower one.
  1. The slower copier completed the job at 2.00 p.m. At what time was the printing started?
  2. What was the total number of leaflets printed by the two copiers?
4 m
Rate more than 1 object Start end time More than or less than
110 P6.SP.JC.18011323
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 113 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
  1. how long would it take to print the collection of books using only Printer U? Express your answer in hours.
  2. how long was Printer U used before it broke down? Express your answer in hours.
4 m
Rate more than 1 object Unit conversion Duration Volume

5 per page

10 per page

20 per page

Symbols

STUDENT
Navigations
Contact Us
Members
Links